Download presentation
Presentation is loading. Please wait.
Published byFredrik Dahlberg Modified over 5 years ago
1
Codas in reflection and transmission responses
and their mutual relations Kees Wapenaar Deyan Draganov Jan Thorbecke Jacob Fokkema Centre for Technical Geoscience Delft University of Technology
2
Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection From reflection to transmission 3-D relations Claerbout’s conjecture One-way reciprocity theorem 2-D examples Discussion of applications
3
Claerbout, 1968 :
4
Reflection response Transmission response
5
With free surface :
6
Without free surface :
7
Transmission response
Reflection response
9
Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection From reflection to transmission 3-D relations Claerbout’s conjecture One-way reciprocity theorem 2-D examples Discussion of applications
10
Claerbout, 1968 :
11
Claerbout’s conjecture:
‘‘By crosscorrelating noise traces recorded at two locations on the surface, we can construct the wave field that would be recorded at one of the locations if there was a source at the other’’
12
Reciprocity for one-way wave fields
14
From transmission to reflection :
1-Dimensional : 3-Dimensional :
15
From reflection to transmission :
1-Dimensional : 3-Dimensional : =
16
Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection From reflection to transmission 3-D relations Claerbout’s conjecture One-way reciprocity theorem 2-D examples Discussion of applications
17
Syncline model
18
Reflection response Transmission response
19
Syncline model
20
Transmission response (fixed , variable )
21
(variable )
22
Syncline model
23
(variable )
25
Causal part of
26
Directly modeled reflection response
27
Syncline model with extra layer
28
Transmission response with coda
29
Reflection response with coda
30
Contents 1-D relations 3-D relations 2-D examples
From transmission to reflection From reflection to transmission 3-D relations Claerbout’s conjecture One-way reciprocity theorem 2-D examples Discussion of applications
31
From transmission to reflection
Acoustic daylight imaging (Rickett and Claerbout , 1999) From reflection to transmission Construction of inverse propagation operators (Herman, 1992, Wapenaar and Herrmann, 1993) From reflection to reflection Interferometric imaging (Schuster, 2001)
32
= From transmission to reflection From reflection to transmission
Acoustic daylight imaging (Rickett and Claerbout , 1999) From reflection to transmission Construction of coda in inverse propagation operators (Herman, 1992, Wapenaar and Herrmann, 1993) From reflection to reflection Interferometric imaging (Schuster, 2001) =
33
From transmission to reflection
Acoustic daylight imaging (Rickett and Claerbout , 1999) From reflection to transmission Construction of coda in inverse propagation operators (Herman, 1992, Wapenaar and Herrmann, 1993) From reflection to reflection Interferometric imaging (Schuster, 2001)
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.